if i need 5 tomatoes to feed 7 people, how many tomatoes do i need to feed 100 leople

Answers

Answer 1

5 - 7
10 - 14
15 - 21
20 - 28
25 - 35
30 - 42
35 - 42
40 - 56
45 - 63
50 - 70
55 - 77
60 - 84
65 - 91
70 - 98
75 - 105

105 with a little extra c:

Related Questions

the length of a banquet table is 3 feet longer than 5 times it's width. if the perimeter is 54 feet. What are the dimensions of the table?

Answers

First set up the equations for the length:

5x + 3

Now, lets find the perimeter:

5x + 3 +5x + 3 + x + x = 54
12x + 6 = 54
12x = 48
x = 4

Hope this helps!

Divide and write the result in standard form: 3-i/1+5i
A. 1/13 +8/13i
B. -1/13+8/13i
C. 1/13-8/13i
D. -1/13-8/13i

Answers

We are asked to write the following fraction of complex numbers in standard form: [tex]\displaystyle{ \frac{3-i}{1+5i} [/tex].

Whenever we are dividing by a complex number by another complex number a+bi, to write the result in standard form, we multiply the expressions in the numerator and denominator by the conjugate of a+bi, that is a-bi:

[tex]\displaystyle{ \frac{3-i}{1+5i}= \frac{(3-i)(1-5i)}{(1+5i)(1-5i)} [/tex]

in the numerator we distribute (3-i) to 1 and -5i, in the denominator we use the difference of squares formula [tex](a-b)(a+b)=a^2-b^2[/tex], and [tex]i^2=-1[/tex]:

[tex]\displaystyle{ \frac{(3-i)(1-5i)}{(1+5i)(1-5i)}= \frac{(3-i)\cdot1+(3-i)\cdot(-5i)}{1^2-(5i)^2}= \frac{3-i-15i-5}{1-25i^2}[/tex]

[tex]\displaystyle{= \frac{-2-16i}{1+25}= \frac{-2-16i}{26}=-1/13-(8/13)i [/tex]

Answer: D

Final answer:

The division of the complex numbers (3 - i) by (1 + 5i) results in the standard form -1/13 - 8/13i, by multiplying both the numerator and denominator by the conjugate of the denominator. The correct answer is option D.

Explanation:

To divide the complex number 3 - i by 1 + 5i, we should multiply numerator and denominator by the conjugate of the denominator to get rid of the imaginary part in the denominator:

Multiply both top and bottom by the conjugate of the denominator, which is 1 - 5i.

(3 - i) * (1 - 5i) = 3 - 15i - i + 5i2

Since i2 = -1, it simplifies to:

3 - 16i - 5 = -2 - 16i

(1 + 5i) * (1 - 5i) = 1 - 5i + 5i - 25i2

Similarly, it simplifies to:

1 + 25 = 26

Divide the top result by the bottom result:

(-2 - 16i) / 26 = -2/26 - 16i/26

Simplify the fractions:

-1/13 - 8/13i

The standard form of the result is -1/13 - 8/13i, which corresponds to option D.

write an equation of the circle that is tangent to both axes with radius sqrt5 and center in quadrant 3

Answers

check the picture below.

[tex]\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 ~~ \begin{array}{lllll} center~(&\quad {{ h}},&\quad {{ k}}\quad )\qquad radius=&{{ r}}\\ &-\sqrt{5}&-\sqrt{5}&\sqrt{5} \end{array} \\\\\\\ [x-(-\sqrt{5})]^2+[y-(-\sqrt{5})]^2=(\sqrt{5})^2 \\\\\\ (x+\sqrt{5})^2+(y+\sqrt{5})^2=5[/tex]

The formula d = rt gives the distance traveled in time t at rate r. A bicyclist rides for 1.5 hours and travels 25 miles.

What was her average speed?

Answers

Answer:

16 2/3

Step-by-step explanation:

The bicyclist's average speed was 16.67 miles per hour

The student asks about the average speed of a bicyclist who traveled for 1.5 hours and covered 25 miles. The average speed can be found using the formula v = d/t, which suggests speed (v) equals distance (d) divided by time (t). To solve for the bicyclist's average speed, we'll insert the given values into the formula.

Here's the step-by-step calculation:

Identify the given variables: d = 25 miles and t = 1.5 hours.

Substitute the values into the formula: v = 25 miles / 1.5 hours.

Calculate the quotient to find the average speed: v = 16.67 miles per hour (rounded to two decimal places).

Therefore, to find the bicyclist's average speed, divide the distance traveled, 25 miles, by the time spent, 1.5 hours, which yields an average speed of 16.67 miles per hour.

The planet Mars has two moons – Phobos and Deimos. Phobos has a mass of 10.8 × 1015 kilograms, and Deimos has a mass of 2.0 × 1015 kilograms. How much greater is the mass of Phobos than the mass of Deimos?

Answers

The answer is 8932. I'm pretty sure... Hope it helps

Answer:

mass of Phobos is 8.8 × 10¹⁵ Kilograms greater than mass of Deimos.

Step-by-step explanation:

The planet Mars has two moons Phobos and Deimos.

Mass of Phobos = 10.8 × 10¹⁵ Kilograms

Mass of Deimos = 2 × 10¹⁵ Kilograms

So the difference in the masses of the moons

= 10.8 × 10¹⁵ - 2 × 10¹⁵

= (10.8 - 2) × 10¹⁵

= 8.8 × 10¹⁵ Kilograms

Therefore, mass of Phobos is 8.8 × 10¹⁵ Kilograms greater than mass of Deimos.

sophia used 1/3 of an ounce of cheese to make 1/12 of a pound of pizza dough. How many ounces of cheese are needed to amke a pound of pizza dough

Answers

Sent a picture of the solution to the problem (s). When comparing two thing like these, use a proportion to solve for x (what you are missing).

What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10

Answers

The side lengths of the rectangle are (x - 2) and (x + 5)

What are areas?

The area of a shape is the amount of space on the shape

The area of the rectangle is given as;

[tex]Area = x^2 + 3x - 10[/tex]

Expand the expression

[tex]Area = x^2 + 5x - 2x - 10[/tex]

Factorize the expression

[tex]Area = x(x + 5) - 2(x + 5)[/tex]

Factor out x + 5

[tex]Area = (x - 2)(x + 5)[/tex]

Hence, the side lengths of the rectangle are (x - 2) and (x + 5)

Answers

Final answer:

The question presents a riddle that can be solved by setting up and solving an algebra equation. Based on the provided information, the solution to the problem is that the nemesis has 40 cats.

Explanation:

The problem describes a riddle: "Seven-eighths of my cats plus five." This scenario is a typical mathematical representation of an algebra problem where you need to find the total number of cats.

Let us denote the total number of cats as 'C'. According to the riddle, 7/8 of the cats plus 5 equals the total cats. As per this, the equation can be written as 7/8*C + 5 = C. Solving this will lead us to find the number of cats.

Subtract 7/8*C from both sides of the equation: 5 = C - 7/8*C, which simplifies into: 5 = 1/8*C. To solve for 'C', we then multiply both sides of the equation by 8: 5*8 = C. Hence, the nemesis has 40 cats.

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which rate converts to a unit rate of 65 miles per hour

Answers

(lol were both doing unit rate rn im just pausing to do some brainly questions)

We know that Unit Rate can be found by dividing.
i think you want the answer right now so if you need an explanation then tell me in the comments
Its number A. Hope this helped!

If A=4-3i, M=-4+i, S=i, and$P=2, find A-M+S-P.

Please help!

Answers

assuming i=√-1

treat i as a variable

A-M+S-P=
(4-3i)-(-4+i)+(i)-(2)=
4-3i+4-i+i-2=
4+4-2-3i-i+i=
6-3i

The value of the A - M + S - P by using an arithmetic operation will be 6 + 3i.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

As per the given values,

A=4-3i, M= -4+i, S=i, and P=2

Put the above values into A - M + S - P as

4 - 3i - (-4 + i) + i - 2

⇒ 4 - 3i + 4 - i + i - 2

⇒ 4 - 2 + 4 - 3i

⇒ 6 + 3i

Hence "The value of the A - M + S - P by using an arithmetic operation will be 6 + 3i".

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Rewrite the equation so that y is a function of x 5y-2x=15

Answers

Add 2x on both sides and it becomes 5y=15+2x. Divide both sides by 5 and you get y=2/5x+3.

Round 915 to the nearest ten

Answers

the answer would be 920. hope that helped

Alex is saving money because she would like to purchase the new video gaming system that everyone has been talking about. After two weeks of saving, she had $47. After 24 weeks of saving, she had $430. Approximately how many dollars per week did Alex save on average between weeks 2 and 24?

Answers

About $7 a day because nothing multiplied by two gives you $47.

First we take out the first two weeks

24-2 = 22
430-47 = 383

Now we are just left with after the two first weeks

383/22= 17.41 dollars

Suppose the cpi was 110 last year and is 121 this year. instructions: in part a, enter your answer as a whole number. in part b, round your answer to 1 decimal place. if you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers.
a. what is this year’s rate of inflation?

Answers

Final answer:

The rate of inflation from last year to this year is calculated by finding the 'change in CPI' which is then divided by the 'old CPI' and multiplied by 100 to convert it into percentage. The change in CPI is the new CPI minus the old CPI. By following the steps, we find that the rate of inflation is 10%.

Explanation:

To calculate the rate of inflation, we first need to determine the 'change in CPI', which will then be divided by the 'old CPI'. The formula is:

(New CPI - Old CPI) / Old CPI x 100%

The 'change in CPI' is the new CPI (this year's CPI) minus the old CPI (last year's CPI). This will be:

121 (this year's CPI) - 110 (last year's CPI) = 11

Now, we'll divide 'change in CPI' by old CPI, which is:

11 (change in CPI) / 110 (old CPI) = 0.1

To convert the value into percentage, we should multiply it by 100:

0.1 x 100 = 10

So, this year's rate of inflation is 10%.

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Using simple linear regression, calculate the trend line for the historical data. say the x axis is april = 1, may = 2, and so on, while the y axis is demand. (round your intercept value to the nearest whole number and slope value to 2 decimal places.

Answers

Given a table of historical demand for a product as follows:

[tex]\begin{tabular} {|c|c|} &Demand\\[1ex] April&60\\ May&55\\ June&75\\July&60\\August&80\\September&75\\ \end{tabular}[/tex]

The linear regression equation is given by

[tex]\hat{Y}=bx+a[/tex]

where:

[tex]b= \frac{n\Sigma xy-\Sigma x\Sigma y}{n\Sigma x^2-(\Sigma x)^2} [/tex]
and
[tex]a= \frac{1}{n} (\Sigma y-b\Sigma x)[/tex]

We calculate the required values using the following table, where
April = 1, May = 2, and so on.

[tex]\begin{tabular} {|c|c|c|c|} X &Y&X^2&XY\\[1ex] 1&60&1&60\\ 2&55&4&110\\ 3&75&9&225\\ 4&60&16&240\\ 5&80&25&400\\ 6&75&36&450\\[1ex] \Sigma X=21&\Sigma Y=405&\Sigma X^2=91&\Sigma XY=1,485 \end{tabular}[/tex]

Thus,

[tex]b= \frac{6(1,485)-21(405)}{6(91)-(21)^2} \\ \\ = \frac{8,910-8,505}{546-441} = \frac{405}{105} \\ \\ \approx3.86[/tex]

and

[tex]a= \frac{1}{6} (405-(3.86)(21)) \\ \\ = \frac{1}{6} (405-81)= \frac{1}{6} (324) \\ \\ =54[/tex]

Therefore, the trend line for the historical data is given by [tex]\hat{Y}=3.86x+54[/tex]

Pablo is a technical writer who works 7.5 hours per day. He spends twice as much time on writing tasks as he does on other work tasks. How much time per day does he spend on writing tasks?

Answers

pablo spends 15 hours on writing tasks
answer: twice as much=2 times this number
then twice as much= 7.5 times 2
7.5 times 2= 15hrs

how do i solve it 1.2c=0.6

Answers

[tex]1.2c=0.6[/tex]

[tex]c= \dfrac{0.6}{2.1} [/tex]

[tex]c=0.5[/tex]

1.2c = 0.6

1.2c/1.2 = 0.6/1.2

c = 0.5

0.5 is your answer

hope this helps

41>6m-7 help please

Answers

41> 6m-7.
So, I added 7 to both sides and got 48>6m and then divided both sides by 6 to get 8>m or m<8.

0.059 seconds into milliseconds

Answers

the answer would be 59 miliseconds

Final answer:

0.059 seconds is equal to 59 milliseconds.

Explanation:

Unit conversion is the process of changing the measurement units of a quantity from one system to another. It is essential for comparing and working with measurements expressed in different units. Common examples include converting between metric and imperial units for length (e.g., meters to feet) or weight (e.g., kilograms to pounds).

Accurate unit conversion is crucial in fields like science, engineering, and international trade.Thus for the given case, 0.059 seconds is equal to 59 milliseconds.

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Which value represents |7.8|?

Answers

Since absolute value is just taking the positive value of whatever you put in the function, it is 7.8 as well. Also, absolute value can be described as the distance from 0 on the number line. 7.8 is 7.8 "units" away from 0, thus meaning it is equal to 7.8.

The value of |7.8| is 7.8 because the absolute value of a number is the non-negative value of that number without regard to its sign.

The student has asked what the value of |7.8| is. The absolute value, denoted by the vertical bars, refers to the distance of a number from zero on the number line without considering direction. Therefore, the absolute value of 7.8 is 7.8 itself, regardless of any negative sign. It's because the absolute value of a positive number is the number itself, and the absolute value of a negative number is the positive version of that number.

845,001 rounded to the nearest ten thousand

Answers

Answer:

850,000

Step-by-step explanation:Meow

The Long family spent $38.62 for school supplies and $215.78 for new school clothes. They paid % sales tax on their

Answers

Final answer:

The Long family spent $38.62 for school supplies and $215.78 for new school clothes. To find the total amount spent, add the cost of school supplies and new school clothes. To calculate the sales tax, multiply the total amount spent by the sales tax rate.

Explanation:

To find the total amount spent, we need to add the cost of school supplies and new school clothes. The Long family spent $38.62 on school supplies and $215.78 on new school clothes, so the total amount spent is $38.62 + $215.78 = $254.40. Now, to calculate the sales tax, we need to find the percentage of the total amount spent. Let's assume the sales tax rate is 8%. To find the sales tax amount, we multiply the total amount spent by the sales tax rate as a decimal: $254.40 x 0.08 = $20.35.

please help!!ASAP!!!!!!!

Answers

y + 7 = 5x is a linear function ... y = 5x - 7 (equation of a LINE which is LINE A R)

I put these all in my calculator and the linear equation is B. Y+7=5X

Alan bought 3 pencils and a notebook. The notebook cost $6, and he spent a total of $12. How much did each pencil cost? Use p to represent the cost of each pencil. A. ; each pencil cost $2.50. B. ; each pencil cost $1.50. C. ; each pencil cost $2. D. ; each pencil cost $2.

Answers

So the pencils all together would be $6 so divide that by 3 and you get D as your answer each pencil costs $2

Cost of each pencil will be $2

What is Linear Equation ?

A linear equation is an equation in which the highest power of the variable is always 1 .

Number of pencil bought = 3

Number of notebook bought = 1

Cost of each notebook = $6

Cost of each pencil = ? let say its = x

Total money spent = $12

according to question , linear equation will be :

3* (x) + 1 * (6) = 12

3x = 6

x = 2

cost of each pencil will be $2

answer is d) $2

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Gordon Rosel went to his bank to find out how long it will take for $2,500 to amount to $3,090 at 6% simple interest. Calculate the number of years. (Round time in years to the nearest tenth.)

Answers

It will take 4 years

A(t) = P(1+rt)
2310 = 1800(1+0.0775*t)
1.2833 = 1+0.0775t
0.0775t = 0.2833

elizabeth plans to hand out door prizes as the guest arives. every 6th guest will receive a mug and every 9th guess will receive a t shirt . Elizabeth believe that the 12th guess will both receive a t shirt and a mug . is she correct or incorrect. show your work and explain your reasoning

Answers

Every 6th guest: 6, 12, 18, 24, and so on.
Every 9th guest: 9, 18, 27, 36, and so on.

18 appears in each of these lists; 12 does not. Elizabeth is wrong. The first person to receive both a t-shirt and a mug would be the 18th guest.

Simplify 2(x + y) + 3(x + y)

Answers

Distribute
2x+2y+3x+3y

Combine like terms
5x+5y

Final answer: 5x+5y

ps Another way to do it is that know the two inner binomials are the same so you can write it as (2+3)(x+y) which simplifies to 5(x+y) and distributes to 5x+5y

What is 265888 rounded to nearest ten thousands

Answers

It would be 270,000. The 6 is higher then 5 so you round up

The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m.

Answers

Question: The expression -3m - [2m + (5 - m)] +7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Answer may include:

If the expression has been simplified correctly, then the expressions will be equivalent.

The expressions will have the same value when numbers are substituted in for the variable m.

Choose a value for m and substitute in to both expressions.

Simplify each expression using the order of operations and show they are the same value.

The given expression is simplified correctly.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is -3m-[2m+(5-m)]+7

= -3m-2m-5+m+7

= (-3m-2m+m)-5+7

= -4m+2

= 2-4m

Hence, the given expression is simplified correctly.

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"Your question is incomplete, probably the complete question/missing part is:"

The expression -3m-[2m+(5-m)]+7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

An animal shelter that only cares for cats and dogs has 8 fewer dogs than cats. The animal shelter has 12 dogs.

Use the five-step problem-solving plan.

How many cats are at the animal shelter?

Answers

I'm not sure what you mean by the five step plan, but to get the answer, just think about the clues.

(c = number of cats)

8 fewer dogs than cats can be written: c - 8

since we know how many dogs there are: c - 8 = 12

Now, just solve for the variable: c = 20

Hope I helped :)

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You and a friend of getting ready to study for an assessment on expressions and equations. Knowing that your friend is still getting expressions and equations mixed up and doesnt always know how to tell if two expressions or two equations are equivalent, your job is to create a set of problems (and solutions) to help your friend study. Create a minimum of six problems that will address your friends misconcep-tions and include the solutions for her/him to study. Make sure your reasoning is clearly articulated in the solutions. Quick, please!!!!Which physical evidence supports the theory that all continents were once together and have separated over time? Common marine animal fossils found in various continents Matching coastlines of Africa and South America That most earthquakes occur along a plate boundary Oceanic ridge near a divergent plate boundary If y = 8 when x = 3, determine y when x = 45 (write an equation) Where do we go from here: chaos or community? Describe the similarities and differences in the solution of 2x -7 =15 and 2x - 7 < 15 what is 9=4t+(-7t)how would I find the value of t If there are 3 1/2 pies for 16 people, how many pies will there be for 64 people? Supreme Court justices are appointed by the president. the vice president. the House. the Senate. The set of ordered pairs represent a function. Write a rule that represent the function. (0,0), (1,6),(2,24), (3,54),(4,96) Which two women were associated with the national womans suffrage association? idab. wells & lucy stone susanb. anthony & elizabeth cady stanton alice paul & elizabeth cady stanton alice paul & idab. wells nextreset? What is the term for thinking that reflects preschoolers' use of primitive reasoning and their avid acquisition of knowledge about the world? given that one root is twice the other for the quadratic equation px-3x^2=24 . Find the values of p X-rays _____. were discovered by accident have no uses today reduced infection after surgery were invented by the British Army Write multiple if statements. if caryear is 1969 or earlier, print "probably has few safety features." if 1970 or higher, print "probably has seat belts." if 1990 or higher, print "probably has anti-lock brakes." if 2000 or higher, print "probably has air bags." end each phrase with period and newline. ex: caryear = 1995 prints: What do the verbs encantar importar and interesar have in common with the verb gustar? Why do you feel your reading rate is important to your success in college? What is a 3 letter (all lowercase) word that sits in the middle of the Milky Way? {Planets rotate and revolutionize around it...} how would DNA of a fish compare to DNA of a lion? How does over-supply affect prices and consumer perceptions of a product? Kara bought a DVD for $22 and a cd for less then the cost of the DVD. Let c represent the cost of the cd. Write an inequality to show the cost of the cd Steam Workshop Downloader